{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Credits: Content forked from [Parallel Machine Learning with scikit-learn and IPython](https://github.com/ogrisel/parallel_ml_tutorial) by Olivier Grisel\n",
    "\n",
    "* Setting Global Parameters\n",
    "* Basic Plots\n",
    "* Histograms\n",
    "* Two Histograms on the Same Plot\n",
    "* Scatter Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import pylab as plt\n",
    "import seaborn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting Global Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Set the global default size of matplotlib figures\n",
    "plt.rc('figure', figsize=(10, 5))\n",
    "\n",
    "# Set seaborn aesthetic parameters to defaults\n",
    "seaborn.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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aRESkHTYUbuaFba8RFxnLtyfeSkxEjNMlSRuFeDwep2toD4/2GgKT9vgCm7Zf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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c45bad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 2, 10)\n",
    "\n",
    "plt.plot(x, x, 'o-', label='linear')\n",
    "plt.plot(x, x ** 2, 'x-', label='quadratic')\n",
    "\n",
    "plt.legend(loc='best')\n",
    "plt.title('Linear vs Quadratic progression')\n",
    "plt.xlabel('Input')\n",
    "plt.ylabel('Output');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histograms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000,)\n",
      "float64\n",
      "[ 0.6806888   0.72202042  1.40490113  1.13979846  0.5729488   1.32584077\n",
      "  0.61635621  0.60340336  1.29453467  0.69841457  0.6975998   0.72315991\n",
      "  0.66912189  1.03420801  0.62283168  0.38582511  0.89488414  1.4802518\n",
      "  1.43819256  0.98605861  0.60402232  1.03820507  0.35598796  1.32901087\n",
      "  1.03194436  1.3374366   1.82526334  1.26614489  1.20061661  0.86344001]\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c4c1510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Gaussian, mean 1, stddev .5, 1000 elements\n",
    "samples = np.random.normal(loc=1.0, scale=0.5, size=1000)\n",
    "print(samples.shape)\n",
    "print(samples.dtype)\n",
    "print(samples[:30])\n",
    "plt.hist(samples, bins=50);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Two Histograms on the Same Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7DOdHGSns3u5mdDyDugsNjwx7tLxDrTXr2MmcdUzqLAa11GVOnnVsrecldQ6D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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c736a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples_1 = np.random.normal(loc=1, scale=.5, size=10000)\n",
    "samples_2 = np.random.standard_t(df=10, size=10000)\n",
    "bins = np.linspace(-3, 3, 50)\n",
    "\n",
    "# Set an alpha and use the same bins since we are plotting two hists\n",
    "plt.hist(samples_1, bins=bins, alpha=0.5, label='samples 1')\n",
    "plt.hist(samples_2, bins=bins, alpha=0.5, label='samples 2')\n",
    "plt.legend(loc='upper left');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scatter Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Q9TKmWaBeLy03ulAJQ4+tLR3fDxgMJCqVFmmqkmUpo9GQIGiSJ4H1aTTqQEi/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\nxBL5/wH5igtfVA4yZQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c514950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(samples_1, samples_2, alpha=0.1);\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
